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$\int\left(x+y\right)\left(x^2-xy+y^2\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x+y)(x^2-xyy^2). Find the integral. Rewrite the integrand \left(x+y\right)\left(x^2-xy+y^2\right) in expanded form. Expand the integral \int\left(x^{3}+y^{3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{3}dx results in: \frac{x^{4}}{4}.